form-validation.js has form property to specify the specific form which you want to validate. You can pass the id of that form so that, it will validate only that specific form. Once the form is validated and everything is success, then form validator will call onSuccess method. So, inside that method you can write your ajax call to submit your form to the respective server side url. Below code can help you resolve the issue.
jQuery.validate({
form: '#form1',
onSuccess: function() {
submitForm1();
return false;
}
});
var submitForm1 = function()
{
var $form = jQuery('#form1'), url = $form.attr('action').val();
jQuery.post(
url,
{formdata: $form.serialize()},
function(data)
{
var result = jQuery.parseJSON(data);
//do more with the result
});
}